On Definition of Operator o for Weakly Nonlinear Circuits
Journal Title: International Journal of Electronics and Telecommunications - Year 2016, Vol 62, Issue 3
Abstract
For the first time, operator o appeared in the literature on weakly nonlinear circuits in a Narayanan’s paper on modelling transistor nonlinear distortion with the use of Volterra series. Its definition was restricted only to the linear part of a nonlinear circuit description. Obviously, as we show here, Narayanan’s operator o had meaning of a linear convolution integral. The extended version of this operator, which was applied to the whole nonlinear circuit representation by the Volterra series, was introduced by Meyer and Stephens in their paper on modelling nonlinear distortion in variable-capacitance diodes. We show here that its definition as well as another definition communicated to the author of this paper are faulty. We draw here attention to these facts because the faults made by Meyer and Stephens were afterwards replicated in publications of Palumbo and his coworkers on harmonic distortion calculation in integrated CMOS amplifiers, and recently in a paper about distortion analysis of parametric amplifier by H. Shrimali and S. Chatterjee. These faults are also present in some class notes for students, which are available on WWW-pages.
Authors and Affiliations
Andrzej Borys
Keywords
Related Articles
- EP ID EP200540
- DOI 10.1515/eletel-2016-0034
- Views 73
- Downloads 0
The Influence of Sintering Conditions on the Inkjet Printed Paths Resistance
The sintering of elements performed with the inkjet printing technique is one of the stages of flexible printed circuit manufacturing process. It is a crucial factor to determining the printed paths conductivity playing...
Enhanced European Coordination of Accelerator Research and Development – EuCARD2 – Global and Local Impact
Wide scale, European, infrastructural research projects on accelerator science and technology are under realization since 2003. CARE project was realized during the period 2003/4-2008, and next EuCARD during 2009-2013. N...
Method for Filling and Sharpening False Colour Layers of Dual Energy X-ray Images
An X-ray scanning and image processing have a vast range of applications in the security. An image of a content of some package being passed for example to an airplane or to the court house may help to figure out if the...
Determination of the Material Relative Permittivity in the UHF Band by Using T and Modified Ring Resonators
The complete methodology of designing T- and modified ring resonators in the UHF band are presented in the paper. On the basis of proposed algorithms, the dedicated software tool has been elaborated in order to determine...
Understanding of Meyer and Stephens’s operator o as a multi-operational one
In this paper, the idea of an extended operator o introduced in the literature on modelling weakly nonlinear circuits by Meyer and Stephens is revisited. The mathematically precise definitions of this operator for the s...